Construction of the WittenReshetikhinTuraev TQFT from conformal field theory
Abstract
In [AU2] we constructed the vacua modular functor based on the sheaf of vacua theory developed in [TUY] and the abelian analog in [AU1]. We here provide an explicit isomorphism from the modular functor underlying the skeintheoretic model for the WittenReshetikhinTuraev TQFT due to Blanchet, Habbeger, Masbaum and Vogel to the vacua modular functor. This thus provides a geometric construction of the TQFT constructed first by WittenReshetikhinTuraev from the quantum group associated to SL(N).
 Publication:

arXiv eprints
 Pub Date:
 October 2011
 DOI:
 10.48550/arXiv.1110.5027
 arXiv:
 arXiv:1110.5027
 Bibcode:
 2011arXiv1110.5027E
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Algebraic Geometry;
 Mathematics  Differential Geometry